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433434021341431 = 114710311816892001
BaseRepresentation
bin110001010001101001011100…
…0111000000010100011110111
32002211122212222011221201211111
41202203102320320002203313
5423302340333430411211
64133500501321215451
7160203401051166205
oct14243227070024367
92084585864851744
10433434021341431
1111611837749a120
1240742500931587
13157b0864374896
147906466206075
153519930c0c421
hex18a34b8e028f7

433434021341431 has 32 divisors (see below), whose sum is σ = 487998732589056. Its totient is φ = 381579715200000.

The previous prime is 433434021341423. The next prime is 433434021341441. The reversal of 433434021341431 is 134143120434334.

It is a cyclic number.

It is not a de Polignac number, because 433434021341431 - 23 = 433434021341423 is a prime.

It is a super-2 number, since 2×4334340213414312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433434021341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59443431 + ... + 66335431.

It is an arithmetic number, because the mean of its divisors is an integer number (15249960393408).

Almost surely, 2433434021341431 is an apocalyptic number.

433434021341431 is a deficient number, since it is larger than the sum of its proper divisors (54564711247625).

433434021341431 is a wasteful number, since it uses less digits than its factorization.

433434021341431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893343.

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 433434021341431 its reverse (134143120434334), we get a palindrome (567577141775765).

The spelling of 433434021341431 in words is "four hundred thirty-three trillion, four hundred thirty-four billion, twenty-one million, three hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 11 47 103 517 1133 1181 4841 12991 53251 55507 121643 610577 1338073 5717221 6892001 62889431 75812011 323924047 709876103 3563164517 7808637133 8139453181 33364176841 89533984991 367005945251 382554299507 838363677643 4208097294577 9222000454073 39403092849221 433434021341431